The universe from its beginning to its end must exist already. Why should observers of today be so lucky to witness the future first?

The cosmological principle is the widely accepted idea that observers on Earth are not occupying a privileged position in the world:
Although the observable universe surrounds Earth as a perfect sphere and puts us inhabitants exactly 'in the middle', we do not expect that position to be of large-scale significance.
In other words: According to modern science, every observer in the universe must be in the middle seen from his own perspective. To give ourselves a privileged position in space would be too much of a coincidence.

My extended question is now: Why should the Earth anno 13.7 billion years after Big Bang take up the privileged position exactly in the end of the past? To expect observers now to be the first witnesses to the future, sounds like too much of coincidence as well.

Please remark that the minor philosophical position called Eternalism seems to deal with the same idea. However, as I understand that specific position it implies that the world is a kind of 'block universe', an endless series of 'nows' - which among other things would collide with the thermodynamic laws.

So to pick up Sean Carrolls thread: It seems that everything that can or will happen in the universe, happens 'now'. Can we apply the cosmological principle to time?